Question
Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage supplied to his home on all 7 days of a given week, and the average (mean) value is 126.3 volts. Choose the correct answer below. A. The given value is a statistic for the week because the data collected represent a sample. B. The given value is a parameter for the week because the data collected represent a sample. C. The given value is a statistic for the week because the data collected represent a population D. The given value is a parameter for the week because the data collected represent a population
Solution
4
(258 Votes)
Isaiah
Elite ยท Tutor for 8 years
Answer
The correct answer is **D. The given value is a parameter for the week because the data collected represent a population.**Here's why:* **Parameter:** A parameter is a numerical measurement describing some characteristic of a *population*.* **Statistic:** A statistic is a numerical measurement describing some characteristic of a *sample*.* **Population:** The complete collection of all measurements or data that are being considered.* **Sample:** A subcollection of members selected from a population.In this case, the homeowner is interested in the average voltage for that specific week (7 days). They measured the voltage on *all* 7 days. Therefore, the data collected represents the entire population of days for that week. Since the average (126.3 volts) is calculated from the entire population, it is a parameter.